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Finding the Fourth Proportional to 553,204.20, 830,000.70 and 198,229.80

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Solution

The fourth proportional to 553,204.20, 830,000.70 and 198,229.80 is: 297,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,204.20 : 830,000.70 = 198,229.80 : x
  2. Step 2: Convert to fraction form
    553,204.20/830,000.70 = 198,229.80/x
  3. Step 3: Cross multiply
    553,204.20x = 830,000.70 × 198,229.80
  4. Step 4: Simplify right side
    553,204.20x = 164,530,872,760.86
  5. Step 5: Solve for x
    x = 164,530,872,760.86/553,204.20
  6. Step 6: Final answer
    x = 297,414.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.